Explicación paso a paso:
[tex]A: 2b^{2}c -3b + 6c[/tex]
[tex]B: 4b - c^{2}b + 12 b^{2}c[/tex]
[tex]C: 4 - 2c[/tex]
Efectuado operaciones:
a)
[tex]A + B[/tex]
[tex](2b^{2}c -3b + 6c) + (4b - {c}^{2} b + 12 {b}^{2} c)[/tex]
[tex]2b^{2}c + 12 {b}^{2} c - {c}^{2} b- 3b + 6c + 4b[/tex]
[tex]14 {b}^{2} c - b {c}^{2} + b + 6c[/tex]
b)
[tex]A - C[/tex]
[tex](2 {b}^{2} c - 3b + 6c) - (4 - 2c)[/tex]
[tex]2 {b}^{2} c - 3b + 6c - 4 + 2c[/tex]
[tex]2 {b}^{2} c - 3b + 8c - 4[/tex]
c)
[tex]B - A[/tex]
[tex](4b - {c}^{2} b + 12 {b}^{2} c) - (2 {b}^{2} c - 3b + 6c)[/tex]
[tex]4b - {c}^{2} b + 12 {b}^{2} c - 2 {b}^{2} c + 3b - 6c[/tex]
[tex]12 {b}^{2} c - 2 {b}^{2} c - b {c}^{2} + 4b + 3b - 6c[/tex]
[tex]10 {b}^{2} c - b {c}^{2} + 7b - 6c[/tex]
Listo, espero te ayude :)
coronita por fa